So you are in Wisconsin and your chicks are two months old. They can handle your weather, that is not an issue.
Do you consider that dog crate and mini-run predator proof so you can leave them out there at night? Or can you put that crate someplace that is? You also want it protected from rain and somewhere the adults can see it when they free range. Or do you have something else that can be a predator proof weather proof shelter for them.
With my understanding of your current situation I'd house those chicks outside for a week or so in a shelter/run to get them used to sleeping there. Then turn them loose to free range during the day but returning to that shelter at night. After three or four weeks of free ranging with the adults, I'd try moving them into the main coop at night. Move them in after dark, I just put them on the coop floor, they sleep wherever they sleep. As long as it is dark in the coop the older chickens can't see to attack them. Just be down there at first light so you can see how it is going and you can open the pop door.
There is a fair chance the next night they will want to return to their shelter instead of the main coop when it gets dark. I'd lock up the shelter so they can't get inside but leave the min-run open so they can go in there. You should be able to shut that to make them easier to catch if you need to. If it is dark they should be easy to catch but if you have security lights out there it could be more of a challenge. Just keep putting them in the main coop at night until they get the message. And be down there at first light until you are sure they will be OK locked in with the adults.
My facilities look a lot different from yours, it's nice to have a big walk-in coop. But you have what you have. I have two concerns with your integration. I envision your coop is still pretty small and does not provide a lot of hiding places or areas the young ones can get away from the older ones. In the morning when I do this it's pretty normal for my chicks to be on the roosts while the adults are on the coop floor. Your roosts may not be high enough for that to protect the chicks from the adults. I also have other areas where the chicks can hide from the adults. I'm not sure your coop is big enough to allow you to do that. A typical method is to lean a piece of plywood against a wall (fasten the top so it can't be knocked over). This gives them a good hiding spot but do it in a way that the chicks are not trapped. Leave both sides open.
My other concern are when they are going to bed. That's when mine are most vicious to each other. My brooder-raised chicks will not sleep on the main roosts with the adults until they pretty much mature, which is about the time they start laying eggs. So they look for a safer place to sleep. That might be your nests, that might even be a place outside the coop. As long as it is not in my nests and is a predator proof location I don't care where it is but this is a time you need to be observant.
In spite of what you read on this forum, sometimes these things go so smoothly you wonder what all the concern was about. The more room you have the more likely it is to be peaceful. That's why I'm so concerned about your coop, I think it is going to be pretty tight. But it could go really smoothly, I hope so. But occasionally you can have a disaster. That's why I suggest you go slowly, give them time to get used to each other. I think that helps your odds too.